Work

Homogenization of non-autonomous evolution problems for convolution type operators in random media

Year: 2023

Type: preprint

Abstract: We study homogenization problem for non-autonomous parabolic equations of the form $\partial_t u=L(t)u$ with an integral convolution type operator $L(t)$ that has a non-symmetric jump kernel which is periodic in spatial variables and stationary random in time. We show that the homogenized equation is a SPDE with a finite dimensional multiplicative noise.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2307.13391

Authors: Piatnitski, Andrey, Zhizhina, Elena

Institutions: Russian Academy of Sciences, Institute for Information Transmission Problems

Language: English

Topic: Advanced Mathematical Modeling in Engineering

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4385292501

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